Here is the problem:
What is the largest integer \(n\) such that \((1 + 2 + 3 + \cdots+ n)^2 < 1^3 + 2^3 + \cdots+ 7^3?\)
Thank you!
Hopefully you know that \(1^3+2^3+3^3+...+n^3=(1+2+3+...+n)^2\).
Therefore, we see that \(n=7\) when the equations are equal so \(n=6\)
You are very welcome!
:P